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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 34496bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
34496.d1 | 34496bw1 | \([0, 0, 0, 392, -686]\) | \(884736/539\) | \(-4058419904\) | \([]\) | \(27648\) | \(0.53288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34496bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 34496bw do not have complex multiplication.Modular form 34496.2.a.bw
sage: E.q_eigenform(10)